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10 Rotational Motion ay-1

# 10 Rotational Motion ay-1 - 1 Chapter 10 Rotational Motion...

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Unformatted text preview: 1 Chapter 10 Rotational Motion 2 3 10-1 Angular Quantities l = R θ Circle = 360 o = 2 π rad = 1 rev l = R θ 4 Tangential velocity v = Δ l Δ t ,______ ω = Δθ Δ t ,_____ Δ l = R Δθ v = ω R a tan = dv dt = R d ω dt = R α _______ α = d ω dt a rad = v 2 R 4 Tangential velocity v = Δ l Δ t ,______ ω = Δθ Δ t ,_____ Δ l = R Δθ v = ω R a tan = dv dt = R d ω dt = R α _______ α = d ω dt a rad = v 2 R 5 The Vector Nature of Angular Quantities • ω and α are referred to a “ pseudo” vectors . • The only unique direction associated with rotation is along the axis of rotation. • Which way is UP ? • Use the “right hand rule.” 6 10-3 Kinematic Equations for Uniformly Accelerated Rotational Motion Angular θ = ω ο t + ½ α t 2 ω = ω ο + α t ω 2 = ω ο 2 + 2 αθ Linear x = v o t + ½ at 2 v = v o + at v 2 = v o 2 + 2 ax These equations are valid only for constant a and α . 7 10-4 Torque • Torque ( τ ) deals with the dynamics of rotational motion. • In rotational motion TORQUE is analogous to FORCE in linear motion. • That is, force through a distance F τ 8 Torque τ = RF = RF sin θ * Torque is a vector (TBD in Chapter 11)....
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10 Rotational Motion ay-1 - 1 Chapter 10 Rotational Motion...

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